Betti numbers of almost complete intersections
Dugger, Daniel
Illinois J. Math., Tome 44 (2000) no. 4, p. 531-541 / Harvested from Project Euclid
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We investigate the minimal free resolutions of cyclic modules $R/I$, where $I$ is an almost complete intersection in the local ring $R$. Our results concern various binomial lower bounds for the Betti numbers of the resolution. For example, we show that the sum of the Betti numbers is at least $2^{d}$ where $d$ is the dimension of $R$.
Publié le : 2000-09-15
Classification:  13D02,  13D25 
@article{1256060413,
     author = {Dugger, Daniel},
     title = {Betti numbers of almost complete intersections},
     journal = {Illinois J. Math.},
     volume = {44},
     number = {4},
     year = {2000},
     pages = { 531-541},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1256060413}
}

Dugger, Daniel. Betti numbers of almost complete intersections. Illinois J. Math., Tome 44 (2000) no. 4, pp.  531-541. http://gdmltest.u-ga.fr/item/1256060413/